Quantum Error Correction with magnetic molecules
2015
Baldoví, José J. | Cardona Serra, Salvador | Clemente Juan, Juan Modesto | Escalera Moreno, Luis | Gaita Ariño, Alejandro | Mínguez Espallargas, Guillermo
Quantum algorithms often assume independent spin qubits to produce trivial |↑⟩=|0⟩, |↓⟩=|1⟩ mappings. This can be unrealistic in many solid-state implementations with sizeable magnetic interactions. Here we show that the lower part of the spectrum of a molecule containing three exchange-coupled metal ions with S=1/2 and I=1/2 is equivalent to nine electron-nuclear qubits. We derive the relation between spin states and qubit states in reasonable parameter ranges for the rare earth 159Tb3+ and for the transition metal Cu2+, and study the possibility to implement Shor's Quantum Error Correction code on such a molecule. We also discuss recently developed molecular systems that could be adequate from an experimental point of view.
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